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Finding the Fourth Proportional to 384,066.60, 576,099.90 and 314,082.60

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Solution

The fourth proportional to 384,066.60, 576,099.90 and 314,082.60 is: 471,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,066.60 : 576,099.90 = 314,082.60 : x
  2. Step 2: Convert to fraction form
    384,066.60/576,099.90 = 314,082.60/x
  3. Step 3: Cross multiply
    384,066.60x = 576,099.90 × 314,082.60
  4. Step 4: Simplify right side
    384,066.60x = 180,942,954,451.74
  5. Step 5: Solve for x
    x = 180,942,954,451.74/384,066.60
  6. Step 6: Final answer
    x = 471,123.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.